Vectors,Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Engineering)

Vectors, Tensors and the Basic Equations of Fluid Mechanics is an essential textbook for anyone interested in the application of mathematics to physical field theories, especially in the context of fluid mechanics. The book is geared towards advanced undergraduate and graduate students in engineering, physics, and applied mathematics.The author, Rutherford Aris, provides a clear and concise introduction to the mathematics of Cartesian and general tensors, which are then applied to physical field theories. This introduction is especially useful for students who have a limited background in mathematics or have not yet studied tensor calculus.The book specifically focuses on the use of tensors in the theory of fluid mechanics. Aris demonstrates how these mathematical concepts can be used to explain basic equations of fluid mechanics, including the Navier-Stokes equations. Throughout the text, numerous exercises are provided to help students better understand the material.Overall, Vectors, Tensors and the Basic Equations of Fluid Mechanics is a valuable resource for anyone interested in the application of mathematics in the field of fluid mechanics. It is well-written, easy to understand, and provides clear examples and exercises to enhance the learning experience.